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Some Steady MHD Flows of the Second Order Fluid
Authors:Hayat  T  Hameed  M I  Asghar  S  Siddiqui  A M
Institution:(1) Department of Mathematics, Quaid-i-Azam University, 45320 Islamabad, Pakistan;(2) COMSATS Institute of Information Technology, Abbottabad, Pakistan;(3) Department of Mathematics, Pennsylvania State University, York Campus, 1031 Edgecomb Avenue, York, PA 17403, USA
Abstract:The exact analytic solutions of two problems of a second order fluid in presence of a uniform transverse magnetic field are investigated. The governing equation is of fourth order ordinary differential equation and is solved using perturbation method. In the first problem we discuss the flow of a second order fluid due to non-coaxial rotations of a porous disk and a fluid at infinity. In second problem the flow of a second order conducting fluid between two infinite plates rotating about the same axis is investigated, with suction or blowing along the axial direction. For second order conducting fluid it is observed that asymptotic solution exists for the velocity both in the case of suction and blowing.
Keywords:Suction flow  Second order fluids  Perturbation method  Non-coaxial rotation  Steady MHD flows
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